-
2
-
-
36849138331
-
Direct-interaction approximation for a system of several interacting simple shear waves
-
Kraichnan R.H. Direct-interaction approximation for a system of several interacting simple shear waves. The Physics of Fluids 1963, 6(11):1603-1609.
-
(1963)
The Physics of Fluids
, vol.6
, Issue.11
, pp. 1603-1609
-
-
Kraichnan, R.H.1
-
3
-
-
0013201448
-
Dynamical properties of truncated Wiener-Hermite expansions
-
Orszag S.A., Bissonnette L.R. Dynamical properties of truncated Wiener-Hermite expansions. The Physics of Fluids 1967, 10(12):2603-2613.
-
(1967)
The Physics of Fluids
, vol.10
, Issue.12
, pp. 2603-2613
-
-
Orszag, S.A.1
Bissonnette, L.R.2
-
5
-
-
0037249229
-
The Wiener-Askey polynomial chaos for stochastic differential equations
-
Xiu D., Karniadakis G. The Wiener-Askey polynomial chaos for stochastic differential equations. SIAM Journal on Scientific Computing 2002, 24(2):619-644.
-
(2002)
SIAM Journal on Scientific Computing
, vol.24
, Issue.2
, pp. 619-644
-
-
Xiu, D.1
Karniadakis, G.2
-
6
-
-
0037408312
-
Modeling uncertainty in flow simulations via generalized polynomial chaos
-
Xiu D., Karniadakis G. Modeling uncertainty in flow simulations via generalized polynomial chaos. Journal of Computational Physics 2003, 187(1):137-167.
-
(2003)
Journal of Computational Physics
, vol.187
, Issue.1
, pp. 137-167
-
-
Xiu, D.1
Karniadakis, G.2
-
7
-
-
0041782621
-
Protein labeling reactions in electrochemical microchannel flow: Numerical simulation and uncertainty propagation
-
Debusschere B., Najm H., Matta A., Knio O., Ghanem R., Le Maître O. Protein labeling reactions in electrochemical microchannel flow: Numerical simulation and uncertainty propagation. Physics of Fluids 2003, 15:2238-2250.
-
(2003)
Physics of Fluids
, vol.15
, pp. 2238-2250
-
-
Debusschere, B.1
Najm, H.2
Matta, A.3
Knio, O.4
Ghanem, R.5
Le Maître, O.6
-
8
-
-
19044387138
-
Using stochastic analysis to capture unstable equilibrium in natural convection
-
Asokan B.V., Zabaras N. Using stochastic analysis to capture unstable equilibrium in natural convection. Journal of Computational Physics 2005, 108:134-153.
-
(2005)
Journal of Computational Physics
, vol.108
, pp. 134-153
-
-
Asokan, B.V.1
Zabaras, N.2
-
9
-
-
33746436285
-
Uncertainty propagation in cfd using polynomial chaos decomposition
-
Knio O.V., Le Maître O. Uncertainty propagation in cfd using polynomial chaos decomposition. Fluid Dynamics Research 2006, 38:614-640.
-
(2006)
Fluid Dynamics Research
, vol.38
, pp. 614-640
-
-
Knio, O.V.1
Le Maître, O.2
-
10
-
-
0036742814
-
A stochastic projection method for fluid flow - II. Random process
-
Le Maître O.P., Reagan M.T., Najim H.N., Ghanem R.G., Knio O.M. A stochastic projection method for fluid flow - II. Random process. Journal of Computational Physics 2002, 181:9-44.
-
(2002)
Journal of Computational Physics
, vol.181
, pp. 9-44
-
-
Le Maître, O.P.1
Reagan, M.T.2
Najim, H.N.3
Ghanem, R.G.4
Knio, O.M.5
-
11
-
-
63449137570
-
Uncertainty quantification and polynomial chaos techniques in computational fluid dynamics
-
Najim H.N. Uncertainty quantification and polynomial chaos techniques in computational fluid dynamics. Annual Review of Fluid Mechanics 2009, 41:35-52.
-
(2009)
Annual Review of Fluid Mechanics
, vol.41
, pp. 35-52
-
-
Najim, H.N.1
-
12
-
-
33745013166
-
Beyond Wiener-Askey expansions: handling arbitrary PDFs
-
Wan X., Karniadakis G. Beyond Wiener-Askey expansions: handling arbitrary PDFs. Journal of Scientific Computing 2006, 27(1-3):455-464.
-
(2006)
Journal of Scientific Computing
, vol.27
, Issue.1-3
, pp. 455-464
-
-
Wan, X.1
Karniadakis, G.2
-
13
-
-
16244409214
-
Physical systems with random uncertainties: chaos representations with arbitrary probability measure
-
Soize C., Ghanem R. Physical systems with random uncertainties: chaos representations with arbitrary probability measure. SIAM Journal of Scientific Computing 2004, 26(2):395-410.
-
(2004)
SIAM Journal of Scientific Computing
, vol.26
, Issue.2
, pp. 395-410
-
-
Soize, C.1
Ghanem, R.2
-
15
-
-
33744543472
-
Wiener chaos expansions and numerical solutions of randomly forced equations of fluid mechanics
-
Hou T.Y., Luo W., Rozovskii B., Zhou H.-M. Wiener chaos expansions and numerical solutions of randomly forced equations of fluid mechanics. Journal of Computational Physics 2006, 216:687-706.
-
(2006)
Journal of Computational Physics
, vol.216
, pp. 687-706
-
-
Hou, T.Y.1
Luo, W.2
Rozovskii, B.3
Zhou, H.-M.4
-
16
-
-
21444449245
-
An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
-
Wan X., Karniadakis G. An adaptive multi-element generalized polynomial chaos method for stochastic differential equations. Journal of Computational Physics 2005, 209(2):617-642.
-
(2005)
Journal of Computational Physics
, vol.209
, Issue.2
, pp. 617-642
-
-
Wan, X.1
Karniadakis, G.2
-
17
-
-
33646672689
-
Spectral and multiresolution Wiener expansions of oscillatory stochastic processes
-
Pettit C.L., Beran P.S. Spectral and multiresolution Wiener expansions of oscillatory stochastic processes. Journal of Sound and Vibrations 2006, 294:752-779.
-
(2006)
Journal of Sound and Vibrations
, vol.294
, pp. 752-779
-
-
Pettit, C.L.1
Beran, P.S.2
-
18
-
-
55649083702
-
An alternative unsteady adaptive stochastic finite element formulation based on interpolation at constant phase
-
Witteveen J.A.S., Bijl H. An alternative unsteady adaptive stochastic finite element formulation based on interpolation at constant phase. Computer Methods in Applied Mechanics and Engineering 2008, 198:578-591.
-
(2008)
Computer Methods in Applied Mechanics and Engineering
, vol.198
, pp. 578-591
-
-
Witteveen, J.A.S.1
Bijl, H.2
-
19
-
-
67849124148
-
Effect of randomness on multi-frequency aeroelastic response resolved by unsteady adaptive finite elements
-
Witteveen J.A.S., Bijl H. Effect of randomness on multi-frequency aeroelastic response resolved by unsteady adaptive finite elements. Journal of Computational Physics 2009, 228:7025-7045.
-
(2009)
Journal of Computational Physics
, vol.228
, pp. 7025-7045
-
-
Witteveen, J.A.S.1
Bijl, H.2
-
20
-
-
67650938584
-
A TVD uncertainty quantification method with bounded error applied to transonic airfoil flutter
-
Witteveen J.A.S., Bijl H. A TVD uncertainty quantification method with bounded error applied to transonic airfoil flutter. Communications in Computational Physics 2009, 6:406-432.
-
(2009)
Communications in Computational Physics
, vol.6
, pp. 406-432
-
-
Witteveen, J.A.S.1
Bijl, H.2
-
21
-
-
0000148817
-
The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
-
Cameron R.H., Martin W.T. The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals. Annals of Mathematics 1947, 48(2):385-392.
-
(1947)
Annals of Mathematics
, vol.48
, Issue.2
, pp. 385-392
-
-
Cameron, R.H.1
Martin, W.T.2
-
22
-
-
84918385534
-
Orthogonal functionals of the Poisson process
-
Ogura H. Orthogonal functionals of the Poisson process. IEEE Transactions on Information Theory 1972, 18(4):473-481.
-
(1972)
IEEE Transactions on Information Theory
, vol.18
, Issue.4
, pp. 473-481
-
-
Ogura, H.1
-
24
-
-
41149139344
-
Efficient quantification of the effect of uncertainties in advection-diffusion problems using polynomial chaos
-
Witteveen J.A.S., Bijl H. Efficient quantification of the effect of uncertainties in advection-diffusion problems using polynomial chaos. Numerical Heat Transfer B - Fundamental 2008, 53:437-465.
-
(2008)
Numerical Heat Transfer B - Fundamental
, vol.53
, pp. 437-465
-
-
Witteveen, J.A.S.1
Bijl, H.2
-
25
-
-
0004911282
-
Symbolic calculus of the Wiener process and Wiener-Hermite functionals
-
Imamura T., Meecham W.C., Siegel A. Symbolic calculus of the Wiener process and Wiener-Hermite functionals. Journal of Mathematical Physics 1965, 6(5):695-706.
-
(1965)
Journal of Mathematical Physics
, vol.6
, Issue.5
, pp. 695-706
-
-
Imamura, T.1
Meecham, W.C.2
Siegel, A.3
-
26
-
-
0344522746
-
The Wiener-Hermite expansion with time-dependent ideal random function
-
Doi M., Imamura T. The Wiener-Hermite expansion with time-dependent ideal random function. Progress of Theoretical Physics 1969, 41(2):358-366.
-
(1969)
Progress of Theoretical Physics
, vol.41
, Issue.2
, pp. 358-366
-
-
Doi, M.1
Imamura, T.2
-
27
-
-
77956415032
-
The Wiener-Hermite expansion with time-dependent ideal random function. II - The three-mode model
-
Tanaka S., Imamura T. The Wiener-Hermite expansion with time-dependent ideal random function. II - The three-mode model. Progress of Theoretical Physics 1971, 45(4):1098-1105.
-
(1971)
Progress of Theoretical Physics
, vol.45
, Issue.4
, pp. 1098-1105
-
-
Tanaka, S.1
Imamura, T.2
-
28
-
-
36849113534
-
Time-dependent Wiener-Hermite expansion for the nearly Gaussian turbulence in the Burgers' system
-
Yano M., Imamura T. Time-dependent Wiener-Hermite expansion for the nearly Gaussian turbulence in the Burgers' system. Physics of Fluids 1972, 15(4):708-710.
-
(1972)
Physics of Fluids
, vol.15
, Issue.4
, pp. 708-710
-
-
Yano, M.1
Imamura, T.2
-
29
-
-
85190211229
-
-
Time-Dependent Polynomial Chaos, Master's Thesis, Delft University of Technology, November
-
P. Vos, Time-Dependent Polynomial Chaos, Master's Thesis, Delft University of Technology, November 2006.
-
(2006)
-
-
Vos, P.1
-
32
-
-
85190228241
-
-
Time-Dependent Generalized Polynomial Chaos - Applied to the Kraichnan-Orszag Three-Mode Problem, Technical Report, Faculty of Aerospace Engineering, TU Delft
-
J.B. Van der Steen, Time-Dependent Generalized Polynomial Chaos - Applied to the Kraichnan-Orszag Three-Mode Problem, Technical Report, Faculty of Aerospace Engineering, TU Delft, 2008.
-
(2008)
-
-
Van der Steen, J.B.1
-
33
-
-
54049113897
-
Time-dependent polynomial chaos
-
European Society of Computational Methods in Sciences and Engineering, American Institute of Physics, T.E. Simos, G. Psihoyios, C. Tsitouras (Eds.)
-
Gerritsma M., Vos P., van der Steen J.-B. Time-dependent polynomial chaos. Numerical Analysis and Applied Mathematics: International Conference on Numerical Analysis and Applied Mathematics 2008, Melville, NY 2008, 221-224. European Society of Computational Methods in Sciences and Engineering, American Institute of Physics. T.E. Simos, G. Psihoyios, C. Tsitouras (Eds.).
-
(2008)
Numerical Analysis and Applied Mathematics: International Conference on Numerical Analysis and Applied Mathematics 2008, Melville, NY
, pp. 221-224
-
-
Gerritsma, M.1
Vos, P.2
van der Steen, J.-B.3
-
34
-
-
52749087886
-
The multi-element probabilistic collocation method (ME-PCM): error analysis and applications
-
Foo J., Wan X., Karniadakis G. The multi-element probabilistic collocation method (ME-PCM): error analysis and applications. Journal Computational Physics 2008, 227(22):9572-9595.
-
(2008)
Journal Computational Physics
, vol.227
, Issue.22
, pp. 9572-9595
-
-
Foo, J.1
Wan, X.2
Karniadakis, G.3
-
35
-
-
4043118237
-
Evaluation of uncertainty quantification of power system models: the probabilistic collocation method
-
Hockenberry J.R., Lesieutre B.C. Evaluation of uncertainty quantification of power system models: the probabilistic collocation method. IEEE Transactions on Power Systems 2004, 19(3):1483-1491.
-
(2004)
IEEE Transactions on Power Systems
, vol.19
, Issue.3
, pp. 1483-1491
-
-
Hockenberry, J.R.1
Lesieutre, B.C.2
|